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Finding the Fourth Proportional to 263.47, 395.29 and 109.46

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Solution

The fourth proportional to 263.47, 395.29 and 109.46 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.47 : 395.29 = 109.46 : x
  2. Step 2: Convert to fraction form
    263.47/395.29 = 109.46/x
  3. Step 3: Cross multiply
    263.47x = 395.29 × 109.46
  4. Step 4: Simplify right side
    263.47x = 43,268.44
  5. Step 5: Solve for x
    x = 43,268.44/263.47
  6. Step 6: Final answer
    x = 164.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.